Answers
Answer:
Degree: 4
Number of terms: 4
Leading Coefficient: 4
Constant: -20
Step-by-step explanation:
1) Expand (x+3)(x-4) into x^2 - x - 12
2) Combine like terms; equation becomes 4x^4 + x^2 + 4x - 20
3) Degree is looking for the highest exponent; in this case, it's 4
4) Number of terms is looking for how many terms there are in this equation; there are 4 terms
5) Leading Coefficient is looking for the coefficient of the term with the highest exponent, so the answer is 4
6) Constant is looking for the term without a variable
Hope this helps!
Related Questions
George invests $2000 in an account with an interest rate of 5%. Which best represents this?
Y=2000(1.05)^x
Y=2000(.05)^x
Y=2000+ 0.5^x
Y=2000(.95)^x
Answers
Answer:
Y=2000(1.05)^x
Step-by-step explanation:
This is because 2000 is the fixed beginning value and should stay by itself.
While the interest rate of 5% is 1.05 because the amount of money George will have will be going up based on the fixed beginning value.
the swim team trains 4 days every week. Mon, Tues, and Thurs, the swim tea spends 1/2h in the gym followed by 1 1/4 in the pool. On Saturday there is no gym work but double the swim team time. how many hours per week does the team train?
Answers
The number of hours that the team trians per week is 17 hours.
How to illustrate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Since the the swim tea spends 1/2h in the gym followed by 1 1/4 in the pool. On Saturday there is no gym work but double the swim team time. The number of hours will be:
( 1 1/4 + 1/2 + 2 1/2) × 4
= 4.25 × 4
= 17 hours.
Learn more about fractions on:
brainly.com/question/78672
#SPJ1
Identify a method of developing systems that is well-suited to traditional project management tools and technique
Answers
The waterfall model has equivalent flexibility to other approaches. suitable for conventional project management tools and methods.
The waterfall model of the software development life cycle is the greatest technique for creating systems.
This includes the following elements:
1. The requirements phase, which takes into account the needs needed to build the product
2. The product's design is created
3. The programmers who wrote the code to put the product into action built the product.
4. The product is examined and all flaws are fixed to ensure that it responds correctly to inputs.
5. The systems are periodically maintained to ensure continued operation and proper output
To know more about the waterfall model, refer to this link:
https://brainly.com/question/13439438
#SPJ4
The area of the rectangle is 15cm, the length is xt2cm, the width is xcm , find the value of x
Answers
You now have the total length for the remaining 2 sides. This number divided by 2 is the width.
How do you find the length and width of a rectangle when given the area?When given an area of A and a length of h, its width w is equal to A/h.
Its width is w = P/2h if you have the perimeter P and length h.
If you know the length h and the diagonal d, you can calculate the width using the formula w = (d2h2).
The height, area, diagonal, or perimeter of your rectangle are the two measurements that the width of a rectangle calculator uses to calculate the width of your rectangle. We'll also demonstrate various formulas for calculating the width of a rectangle based on the information at hand. The width of a rectangle can be determined in a variety of ways, depending on the information at hand.
A=w×h
P=(w+h)×2
d = w 2 +h 2
To Learn more about rectangle refer to:
https://brainly.com/question/25292087
#SPJ1
What is the area of a rectangle with a length of 14.4 inches and a width that is one-third of the length?
A. 43.2 in.
B. 51.84 in.
C. 69.12 in.
D. 103.68 in.
If you give the answer, please make sure it is correct and one of the answers on the group of answer choices! Thank you! :)
Answers
The area of the rectangle is 69.12 square inches.
What is the area of the rectangle?
We know that for a rectangle of length L and width W, the area is given by the formula:
A = L*W
Here we know that the length is 14.4 inches, then:
L = 14.4 in
And the width is one-third of that length, then we can write:
W = (1/3)*L
Replacing the value of L, we will get:
W = (1/3)*14.4 inches
W = 4.8 inches.
Then the area of the rectangle is:
A= (4.8 in)*(14.4 in) = 69.12 in²
That is the area of the rectangle.
Learn more about areas by reading:
https://brainly.com/question/24487155
#SPJ1
please help i will give brainlist!!
Answers
Answer:
1157.09
Step-by-step explanation:
Omar rides the train and ferry to visit his uncle the train ticket cost $42. The train ticket cost 7 times as much as the ferry tickets. How much does the ferry tickets cost
Answers
If the train ticket is 7x as much as the ferry ticket, divide 42 by 7
Answer:
6
Step-by-step explanation:
Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?
Find the total tax using the expanded expression. Did you get the same answer as you did by evaluating the original expression?
PLEASE HELP
Answers
Answer:
Are you on I X L?
Step-by-step explanation:
I apoligize but try googling 5% of 50
Answer:
the total tax is 4.50 dollars, yes it is the same because they are basically the same equation.
Step-by-step explanation:
There are 4 pizzas and 3 people.
How much would each person get if each person eats the same amount?
A. 1 3/4
B. 2/3
C. 1 1/3
D. 3/4
E. 1 1/2
Answers
Answer:
The answer will be C
Step-by-step explanation:
find the geometric means of the following sequence -7, ?, ?, ?, ?, -1, 127, 357
Answers
XY is a diameter of a circle and Z is a point on the circle such that ZY=6. If the area of the triangle XYZ is 18 square root 3 find the length of arc XZ
Answers
4π
Step-by-step explanation:As shown in the diagram, triangle XYZ is a right triangle. Therefore, its area (A) is given by:
A = [tex]\frac{1}{2}[/tex] x b x h -------------(i)
Where;
A = 18[tex]\sqrt{3}[/tex]
b = XZ = base of the triangle
h = YZ = height of the triangle = 6
Substitute these values into equation(i) and solve as follows:
18[tex]\sqrt{3}[/tex] = [tex]\frac{1}{2}[/tex] x b x 6
18[tex]\sqrt{3}[/tex] = 3b
Divide through by 3
6[tex]\sqrt{3}[/tex] = b
Therefore, b = XZ = 6[tex]\sqrt{3}[/tex]
Now, assume that the circle is centered at O;
Triangle XOZ is isosceles, therefore the following are true;
(i) |OZ| = |OX|
(ii) XZO = ZXO = 30°
(iii) XOZ + XZO + ZXO = 180° [sum of angles in a triangle]
=> XOZ + 30° + 30° = 180°
=> XOZ + 60° = 180°
=> XOZ = 180° - 60°
=> XOZ = 120°
Therefore we can calculate the radius |OZ| of the circle using sine rule as follows;
[tex]\frac{sin|XOZ|}{XZ} = \frac{sin|ZXO|}{OZ}[/tex]
[tex]\frac{sin120}{6\sqrt{3} } = \frac{sin 30}{OZ}[/tex]
[tex]\frac{\sqrt{3} /2}{6\sqrt{3} } = \frac{1/2}{|OZ|}[/tex]
[tex]\frac{1}{12} = \frac{1}{2|OZ|}[/tex]
[tex]\frac{1}{6} = \frac{1}{|OZ|}[/tex]
|OZ| = 6
The radius of the circle is therefore 6.
Now, let's calculate the length of the arc XZ
The length(L) of an arc is given by;
L = θ / 360 x 2 π r ------------------(ii)
Where;
θ = angle subtended by the arc at the center.
r = radius of the circle.
In our case,
θ = ZOX = 120°
r = |OZ| = 6
Substitute these values into equation (ii) as follows;
L = 120/360 x 2π x 6
L = 4π
Therefore the length of the arc XZ is 4π
The sports store sells 5 t-shirts and 10 pairs of shorts for 132.50. The next day they sell 3 t-shirts and 5 pairs of shorts for 69.50. What is the cost of a t-shirt?
Answers
Answer:
A) 5t + 10s = 132.50
B) 3t + 5s = 69.50
We multiply B) by -2
B) -6t -10s = -139.00 then we add A)
A) 5t + 10s = 132.50
-t = -6.50
t-shirt price = 6.50
Source: http://www.1728.org/unknwn2.htm
Step-by-step explanation:
Find the measure of x.
48°
Answers
Answer:
c
Step-by-step explanation:
use that the sum of angles in a triangle is 180°
you know 2 angles so you can find the third
x= 180 -90-48 =42°
Answer:
c. x = 42 degrees
Step-by-step explanation:
A right triangle is 90 degrees
90 - 48 = 42
So, the measure of x is 42 degrees
I will mark you brainlist!
Answers
Answer:
1. 2 runners
2. 25 runners
3. 24%
4. 15 runners
5. 60%
6. uh I think it's asking the same thing as 3, so 24%?
Pretty easy middle school math
Answers
Answer:
3
Step-by-step explanation:
If we use pythagoras theorem we know a^2+b^2=c^2
c being the hypoeneuse
so we half the 8 to get the dimensions of the right angle so the bottom side is 4cm and then we use the hypotenuese which is 5 and plug it in so
a^2+4^2=5^2
a^2+16=25
-16 from both sides
a^2=9
square root both sides
a=3
heyy! i’ll give brainliest please help.
Answers
Answer:
The answer is B.
Step-by-step explanation:
Its B because the lower the altitude the higher the pressure, and in this case the air towards the ground is being moved up, which is letting cold air sink back down.
HELP! (25 POINTS AND CROWN FOE THE RIGHT ANSWER!!)
Answers
x=3y-7
Substitution Property of Equality:
y=(3y-7)+1
Solve for y - combine like terms:
-7+1=-6:
y=3y-6
Subtract 3y from both sides:
y-3y=-6
-2y=-6
Divide both sides by -2:
-2y/-2=-6/-2
y=3
Now, let’s plug y=3 back into the first equation to solve for x:
x=3(3)-7
x=9-7
x=2
So, the solution is: (2, 3)
What fraction is no solution?
Answers
No solution is a fraction that cannot be represented as a fraction of integers.
A fraction is a division of two numbers, and no solution occurs when the divisor is 0, because division by 0 is undefined.
For example, consider the fraction 2/0. This is a fraction with no solution because division by 0 is undefined. To explain this further, let's look at the formula for division: a/b = c. In this formula, a is the dividend, b is the divisor, and c is the quotient. In the fraction 2/0, the dividend is 2 and the divisor is 0, so when we try to calculate the quotient, we get c = 2/0. Since division by 0 is undefined, the result is no solution.
To summarize, no solution occurs when a fraction's divisor is 0 because division by 0 is undefined. This means that no fraction can be represented as a fraction of integers when the divisor is 0 because there is no solution.
Learn more about fraction here:
https://brainly.com/question/10708469
#SPJ4
A bag contains 6 red marbles and 4 white marbles. A marble is selected, kept out of the bag, and then another marble is selected. What is the probability of choosing a red marble and then another red marble without replacemen
Answers
Answer: 60% for the first try, and about 55.56% for second try.
Step-by-step explanation:
There's 10 marbles total.
6 red marbles out of 10 total.
60% chance of getting red marbel
6/10=3/5
The second time would be 5 marbles out of 9 marbles in the bag.
About 55.56%
5/9
A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. What is the approximate area of the heptagon rounded to the nearest whole number
Answers
Rounded to the nearest whole number, the approximate area of the heptagon is 555 sq cm.
A heptagon is a seven-sided polygon. To find the area of a regular heptagon, we can use the formula:
Area = (7/4) * (perimeter) * (apothem)
where "perimeter" is the length of the heptagon's circumference and "apothem" is the distance from the centre to the midpoint of one of its sides. The radius of the heptagon is the apothem, which is 27.87 cm.
The perimeter of the heptagon can be calculated by multiplying the length of one side by the number of sides:
Perimeter = 24.18 cm * 7 = 168.26 cm
Now we can substitute these values into the area formula:
Area = (7/4) * 168.26 * 27.87
Area = approximately 554.55 sq cm.
Rounded to the nearest whole number, the approximate area of the heptagon is 555 sq cm.
To learn more about the perimeter, visit:
brainly.com/question/6465134
#SPJ4
Ervin scores half as many points in a game as Larry. If Larry scored x points, how many points did Larry score if Ervin scored 16?
Answers
The score of Larry is 32 points.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
Ervin scores half as many points in a game as Larry.
If Larry scored x points,
then the points of Ervin are x/2 points.
Here, x = 16,
So,
Ervin's points = Larry's points
The equation is,
16 = x/2
x = 16(2)
x = 32 points
Therefore, 32 points are the score of Larry.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ1
What is the quotient?
Answers
Therefore: 5^-6/5^3 = 5^-6-3
5^-9 = 1/5^9
Solution: A
solve for x, Give your answer as a fraction or decimal rounded to the nearest hundredth.
Answers
Using the fact that the triangles are similar, we will see that:
x = 5.626
How to find the value of x?On the image we can see two triangles, such that one is inscribed on the other.
Just because of that, it is obvious that the two triangles are similar.
And because the triangles are similar, the quotients between correspondent sides must be equal, that allows us to write the equation:
3/x = 8/15
The quotient is "left side over the bottom side"
We can solve that equation for x:
3/x = 8/15
3 = (8/15)*x
(15/8)*3 = x
45/8 = x
5.625 = x
That is the value of x.
Learn more about similar triangles by reading:
https://brainly.com/question/14285697
#SPJ1
Does anyone know how to do this
Answers
The experimental probability of spinning a number less than 3.
7/25.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The total number of spuns.
= 8 + 6 + 9 + 11 + 9 + 7
= 50
Total number of spuns of the spinner less than 3.
= 8 + 6
= 14
The probability of spinning a number less than 3.
= 14/50
= 7/25
Thus,
The probability is 7/25.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ1
two cards are drawn from a shuffled deck of 52 cards. what is the probability that the first card is a king and the second is a heart
Answers
On solving the provided question, we can say that the required probability is = 13/204.
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
probability of 1st card = 1/4
since the card is not replaced
total number remaining cards = 51
second card 13/51
the required probability is = 13/204
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ4
PLS HELP 30 POINTS+BRAINLIEST!!
The __________ is the layer of the atmosphere nearest to Earth's surface.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
The __________ contains the highest concentration of ozone.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
The _________ protects the earth from meteoroids.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
The _________ layer is the coldest layer in the atmosphere.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
Most weather occurs in the _________.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
The __________ the atmospheric layer farthest from Earth.
A. exosphere
B. troposphere
C. stratosphere
D. mesosphere
Answers
C: Stratosphere
D: Mesosphere
D: Mesosphere
B: Troposphere
A: Exosphere
Mr. Starnes and his wife have 6 grandchildren: Connor, Declan, Lucas, Piper, Sedona, and Zayne. They have 2 extra tickets to a holiday show, and will randomly select which 2 grandkids get to see the show with them.
a. Give a probability model for this chance process.
b. Find the probability that at least one of the two girls (Piper and Sedona) get to go to the show.
Answers
Probability that one of the girls (Piper as well as Sedona) will be able to attend the performance is one in five.
Explain the term Probability?Any probability is a mathematical representation of the likelihood or chance that a specific event will take place. All these proportions ranging from 0 to 1 and percentages varying from 0% through 100% can be used to describe probabilities.For the stated question-
There are 6 grandkids.There are two girls.Out of the six grandchildren, two are to be chosen.
There are 6C2 different ways to choose 2 out of 6 grandchildren.
6C2 = 6! / (6 - 2)!*2!
6C2 = 15
There are 15 different ways to choose two grandchildren out of six.There are 2C1 different ways to choose 1 of the 2 girls.
2C1 = 2
There are two different ways to choose one of the two girls.
Number of methods for choosing both girls = 2C2
Number of methods for choosing both girls equals one.
Probability of choosing 1 of the 2 grandchildren is 1/15.
The likelihood of choosing both girls is 2/15.
Probability that one of the females (Piper and Sedona) will be able to attend the performance is:
= 1/15 + 2/15.
= 3/15.
Thus, Probability that atleast one of girls (Piper as well as Sedona) will be able to attend the performance is one in five.
To know more about the Probability, here
https://brainly.com/question/13604758
#SPJ4
Ray had a block of wood in the shape of a rectangular prism. The block and it's dimensions are shown below:
Answers
Answer:
[tex](a)\ Area = 24in^2[/tex]
[tex](b)\ Area = 60in^2[/tex]
Step-by-step explanation:
Given
See attachment for the dimension of the block
Solving (a): Area of the front face
From the attachment, the front face has the following dimension.
[tex]Length = 4in[/tex]
[tex]Width = 6in[/tex]
The area is calculated as:
[tex]Area = Length *Width[/tex]
[tex]Area = 4in * 6in[/tex]
[tex]Area = 24in^2[/tex]
Solving (b): Area of the top and bottom faces
The top and bottom faces have the same dimension
From the attachment, the top face has the following dimension.
[tex]Length = 5in[/tex]
[tex]Width = 6in[/tex]
The area of the top is calculated as:
[tex]Area = Length *Width[/tex]
[tex]A_1 = 5in * 6in[/tex]
[tex]A_1 = 30in^2[/tex]
The area of the top and the bottom faces is:
[tex]Area = 2 *A_1[/tex] ---- because the top and bottom faces have the same dimension
[tex]Area = 2 *30in^2[/tex]
[tex]Area = 60in^2[/tex]
This rectangular prism is packed with unit cubes with edge lengths of 12 inch each. Which are the dimensions of the rectangular prism? A 812×312×412 B 8×3×4 C 412×212×112 D 4×2×112
Answers
Answer:
Step-by-step explanation:
This rectangular prism is packed with unit cubes with edge lengths of 12 inch each. Which are the dimensions of the rectangular prism? A 812×312×412 B 8×3×4 C 412×212×112 D 4×2×112
The volume of a rectangular prism when given edge length = (Edge length)³
Hence,
Volume = (12 inch)³
Volume = 1728 cubic inches
Therefore, from the above options given, the possible dimensions of the Rectangular prism =
Oliver has a piece of chocolate. What is the volume of the piece of chocolate?
30 cubic centimeters
40 cubic centimeters
50 cubic centimeters
60 cubic centimeters
Answers
Answer:
60 cubic centimeters
Step-by-step explanation:
[tex]3 * 4 * 5 = 60[/tex]
Answer:
60 cubic centimeter
volume= length times width times heighth
substitute values
3 times 5 times 4 = 60